Question

In the figure, a||b , and both lines are intersected by transversal t. Complete the statements to prove that ∠2 and ∠8 are supplementary angles.

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m∠2 = m∠7 ( )
m∠7 + m∠8 = 180° ( )

Answer 1

Explanation:

m∠2 ≅ m∠7 [Alternate exterior angles]

m∠7 + m∠8 = 180° [Linear pair theorem]

m∠2 + m∠8 = 180° [Substitution property]

∠2 and ∠8 are supplementary [Definition of supplementary angles]